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Question

Study carefully the table given below and answer the question asked here under.
Number of students in different academic programs of a college are provided year-wise.
YearNumber of students admitted in different programs
B.A.B.Sc.B.B.A.B. Com.B.C.A
202115025504575
202222540456270
202345065309073
2024470733510570
2025500803613274

In which year, the number of students have doubled with reference to the previous year in a particular program?

The correct answer is
2023

Analyzing Student Admission Doubling

The question asks to identify the year in which the number of students admitted to a specific academic program *doubled* compared to the previous year. We need to examine the provided year-wise student admission data for each program.

Year-wise Program Admission Comparison

We will compare the student numbers for each program year over year to find instances where the count is exactly twice the previous year's count.

Checking Year 2022 vs 2021

No program showed a doubling of students from 2021 to 2022.

  • B.A.: 225 (2022) vs 150 (2021)
  • B.Sc.: 40 (2022) vs 25 (2021)
  • B.B.A.: 45 (2022) vs 50 (2021)
  • B.Com.: 62 (2022) vs 45 (2021)
  • B.C.A.: 70 (2022) vs 75 (2021)

Checking Year 2023 vs 2022

In the B.A. program, the number of students doubled.

  • B.A.: 450 (2023) vs 225 (2022). This is a doubling, as $450 = 2 \times 225$.
  • B.Sc.: 65 (2023) vs 40 (2022)
  • B.B.A.: 30 (2023) vs 45 (2022)
  • B.Com.: 90 (2023) vs 62 (2022)
  • B.C.A.: 73 (2023) vs 70 (2022)

Since we found a program where the number of students doubled compared to the previous year, the year is 2023.

Checking Year 2024 vs 2023

No program showed a doubling of students from 2023 to 2024.

  • B.A.: 470 (2024) vs 450 (2023)
  • B.Sc.: 73 (2024) vs 65 (2023)
  • B.B.A.: 35 (2024) vs 30 (2023)
  • B.Com.: 105 (2024) vs 90 (2023)
  • B.C.A.: 70 (2024) vs 73 (2023)

Checking Year 2025 vs 2024

No program showed a doubling of students from 2024 to 2025.

  • B.A.: 500 (2025) vs 470 (2024)
  • B.Sc.: 80 (2025) vs 73 (2024)
  • B.B.A.: 36 (2025) vs 35 (2024)
  • B.Com.: 132 (2025) vs 105 (2024)
  • B.C.A.: 74 (2025) vs 70 (2024)

Conclusion

The number of students in the B.A. program doubled from 225 in 2022 to 450 in 2023. Therefore, the year in which student numbers doubled for a particular program compared to the previous year is 2023.

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    Player$2009$$2010$
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    Q$765$$912$
    R$429$$619$
    S$501$$701$


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    State
    YearABCDE
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    2015122138150140120
    2016124134142144132
    2017132154198149133
    2018135148187151145
    2019153136198150187

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